We introduce a novel parafermionic theory for which the conformal dimension of the basic parafermion is 3 2 (1 − 1/k), with k even. The structure constants and the central charges are obtained from mode-type associativity calculations. The spectrum of the completely reducible representations is also determined. The primary fields turns out to be labeled by two positive integers instead of a sin...

‎We determine the‎ ‎form of polynomially bounded solutions to the Loewner differential ‎equation that is satisfied by univalent subordination chains of the‎ ‎form $f(z,t)=e^{int_0^t A(tau){rm d}tau}z+cdots$‎, ‎where‎ ‎$A:[0,infty]rightarrow L(mathbb{C}^n,mathbb{C}^n)$ is a locally‎ ‎Lebesgue integrable mapping and satisfying the condition‎ ‎$$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t‎ ‎[A(tau)...

This study deals with the uptake of Cd2+ and  Mn2+ ions from contaminated water using two Iranian natural clinoptilolite-rich tuffs from Meyaneh (Z-m), and Semnan (Z-s) regions , and a synthetic zeolite-P from Z-m sample (Z-P) under static (batch operation) and dynamic (column operation) conditions. To investigate the selectivity of the zeolites towar...

This paper combines quasi-Z-source into a typical five-level inverter, which includes two dc voltage sources, two quasi-Z-sources and five switching devices. In this structure, the output voltage amplitude is not limited to dc voltage source and it can be increased by quasi-Z-source. Besides, due to nature of Z-source families, this new structure is reliable and higher efficiency. Also, in this...

In this paper, we study skew constacyclic codes over the ring ZqR where R = Zq + uZq, q = p s for a prime p and u2 = 0. We give the definition of these codes as subsets of the ring ZqR . Some structural properties of the skew polynomial ring R[x, θ] are discussed, where θ is an automorphism of R. We describe the generator polynomials of skew constacyclic codes over R and ZqR. Using Gray images ...

It has been recognised that formal methods are useful in requirements engineering. Speciication languages such as Z permit the precise and unambiguous speciication of system properties and behaviour. However some system problems, particularly those drawn from the IS problem domain are diicult to model in crisp or precise terms. This paper suggests fuzzy set theory as a possible representation s...

In this paper we introduce and investigate an improved kernel logic Z C for the speciication language Z. Unlike the standard accounts, this logic is consistent and is easily shown to be sound. We show how a complete schema calculus can be derived within this logic and in doing so we reveal a high degree of logical organisation within the language. Finally, our approach eschews all non-standard ...

For a polynomial p(z) of degree n, having all zeros in |z|< k, k< 1, Dewan et al [K. K. Dewan, N. Singh and A. Mir, Extension of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl. 352 (2009) 807-815] obtained inequality between the polar derivative of p(z) and maximum modulus of p(z). In this paper we improve and extend the above inequality. Our result generalizes certai...